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ON THE REGULARIZATION METHOD OF THE FIRST KIND OFFREDHOLM INTEGRAL EQUATION WITH A COMPLEX KERNEL AND ITS APPLICATION

ON THE REGULARIZATION METHOD OF THE FIRST KIND OF FREDHOLM INTEGRAL EQUATION WITH A COMPLEX KERNEL AND ITS APPLICATION
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摘要 The regularized integrodifferential equation for the first kind of Fredholm, integral equation with a complex kernel is derived by generalizing the Tikhonov regularization method and the convergence of approximate regularized solutions is discussed. As an application of the method, an inverse problem in the two-dimensional wave-making problem of a flat plate is solved numerically, and a practical approach of choosing optimal regularization parameter is given. The regularized integrodifferential equation for the first kind of Fredholm, integral equation with a complex kernel is derived by generalizing the Tikhonov regularization method and the convergence of approximate regularized solutions is discussed. As an application of the method, an inverse problem in the two-dimensional wave-making problem of a flat plate is solved numerically, and a practical approach of choosing optimal regularization parameter is given.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1998年第1期75-83,共9页 应用数学和力学(英文版)
关键词 inverse problem Fredholm integral equation of the first kind complex kernel regularization method inverse problem Fredholm integral equation of the first kind complex kernel regularization method
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